# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067976:0019 # Permalink to this reading: https://leibnizlegible.com/page/00067976:0019?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14 # Folio 10r, page id 00067976:0019 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067976&page=19 # Source image: https://digitale-sammlungen.gwlb.de/content/00067976/jpgs/default/00000019.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 49 lines, status machine # Lines: 49 recognised, mean confidence 0.89 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. de soctitione problematum Circa mudos solvendi problema perconea linearum considerationes Hat sepe notavi esse quandam Anaty sin et in communi Geometria sduum problema propositum reducitur ad aliud facilus, atque u continue, donec perveniatur ad ea quae in potestate sunt Notavi et selli modum solvendi problemata per intersectio nes superficierum. a ABCD sit problema: quadricaterum in circula A describere, cujus duo latera AB, cd, sint data, et duorum iliquorum BC, AD (concurrentium in E) angulus (BAC) sit datus. A Asarmatur AB, data e locetur incicuto ABCd, prvarbiar, quia data est recta AB et anrulus AEB, dabitur et recta circulus transieas per ABE. At circulus transiens per C, D, E, datur maninitudine sit eique centrum itaque GCDF, una cum cunto centro eper ciica F per Cd, moveat Circa centrum G. cirguli ABCC dober contingal punctuur u semperq notetur punctum inteisectionis E.et jungi intelligantur AE, BS vel quod eodem redit mobiles crca nis ductumciculorum, d idq donec tingat Cd in eas inci s AC possis et concipere omnia triangula ABE, in aere Positue plano subi ecto, seu sibi ipsis infra positis parntella super eantia, unde scalaris quasi quodaque si sperficies sontur inde ponendo ex mobilitcirca G) rectiae e cd exhens c et surgere rectas perpendiculares plano, item talem nctam perpendicularem assurvere in ciruli A. 5 circum ferrentia incedere quam propellat circulus. CdE, et debiege in casu successu nigs illas pun rectas dpsi superficili sculari occurre in eodem plano busi parellelo. Sed Eoc perplexius Non est opyemuto cde, patet datis positione circuli ABCd, et ABE quom quaeri santum cet circulo, cDE dato magnitudine, sopus tantum esse invengri ejus centrum L natel autem dari rectam GF adeoque circulum centro G radio GF descriptum inquemladis F. quaegitur tantu distantia liusa centio ciruli ABC. Est autem G( producto serperi diculaxis ad AB et in medio ipsius As ei occunt. item problema ita formari potest. Ex datis dgobus punctis A, B ad enguli EE punctum num E, ducere rectam secantem alium e ut intercepta Cd sit dato ubi hoc loco ipsa puncta A, B, in eundem circulu incidunt, qui secandus est circulim in C et d, sic